Abstract:
One-sided widths of the classes of functions $W_p^r[0,1]$ in the metric $L_q[0,1]$, $1\le p$, $q\le\infty$, $r>1$, are studied. Such widths are defined similarly to Kolmogorov widths with additional constraints on the approximating functions.
Keywords:one-sided widths, exact orders, classes of smooth functions.